Preheat the oven to 375°F (190°C) and line a rimmed baking sheet with parchment paper.
Separate the crescent roll can into 8 triangles and lay them out on the work surface.
In a mixing bowl, combine the buffalo wing sauce and 1/4 cup ranch dressing and stir until smooth.
Place one half-slice of provolone on each crescent triangle.
Dip each breaded chicken finger into the sauce mixture to coat, then place the coated chicken on top of the provolone on a crescent triangle.
Roll each crescent up around the chicken and place seam-side down on the prepared baking sheet; repeat with remaining pieces.
Bake for 18–20 minutes, until the crescents are golden brown and heated through.
Serve warm with additional ranch or blue cheese dressing for dipping if desired.